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233150157 = 342878397
BaseRepresentation
bin11011110010110…
…01011011001101
3121020201020220000
431321121123031
5434141301112
635045114513
75530513032
oct1571313315
9536636800
10233150157
1110a675189
12660b8a39
13393c3096
1422d71389
15157067dc
hexde596cd

233150157 has 10 divisors (see below), whose sum is σ = 348286158. Its totient is φ = 155433384.

The previous prime is 233150153. The next prime is 233150161. The reversal of 233150157 is 751051332.

It is an interprime number because it is at equal distance from previous prime (233150153) and next prime (233150161).

It can be written as a sum of positive squares in only one way, i.e., 205807716 + 27342441 = 14346^2 + 5229^2 .

It is not a de Polignac number, because 233150157 - 22 = 233150153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 233150157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233150153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1439118 + ... + 1439279.

Almost surely, 2233150157 is an apocalyptic number.

233150157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

233150157 is a deficient number, since it is larger than the sum of its proper divisors (115136001).

233150157 is an equidigital number, since it uses as much as digits as its factorization.

233150157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878409 (or 2878400 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 233150157 is about 15269.2552863589. The cubic root of 233150157 is about 615.4771074636.

The spelling of 233150157 in words is "two hundred thirty-three million, one hundred fifty thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 81 2878397 8635191 25905573 77716719 233150157